Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups

Abstract

In this paper, we define type-1 quasi-hyperfilters (resp., type-1 strong quasi-hyperfilters, type-2 quasi-hyperfilters, type-2 strong quasi-hyperfilters, interior hyperfilters, strong interior hyperfilters, interior semihyperfilters, strong interior semihyperfilters) of an ordered LA-semihypergroup. We applied rough set theory to quasi and interior hyperfilters in ordered LA-semihypergroups.

Keywords

• la-semihypergroups
• ordered la-semihypergroups
• quasi-hyperfilter
• interior hyperfilter
• rough sets